Dirichlet series constructed from periods of automorphic forms

2015/05/26 by Yasuro Gon, Gon, Yasuro
Mathematics · #11F72 #11M36 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1505.07009

openalex publication_date 2015/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider certain Dirichlet series of Selberg type, constructed from periods of automorphic forms. We study analytic properties of these Dirichlet series and show that they have analytic continuation to the whole complex plane.

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